[8] The municipality (originally the parish) is named after the Træna island group (Old Norse: Þriðna).

On 6 January 1908, a royal resolution changed the spelling of the name of the municipality to Træna.

The official blazon is "Gules, three fish-hooks Or two over one" (Norwegian: I rødt tre gull angler, 2-1).

This means the arms have a red field (background) and the charge is three fishhooks made of bone from the Stone Age.

The fishhooks have a tincture of argent which means they are commonly colored yellow, but if it is made out of metal, then gold is used.

They are based on the historic bone hooks found in the local cave Kirkhelleren on the island of Sanna.

They are canting arms because there are three hooks and the name Træna originates from a word meaning number "three".

Here is a list of people who have held this position:[15][16] The municipal council (Kommunestyre) of Træna is made up of 11 representatives that are elected to four year terms.

The tables below show the current and historical composition of the council by political party.

The municipality consists of 477 islands and skerries off the coast of mainland Norway.

This tradition began to change in the mid to late 19th century, and inherited surnames were codified into law in 1923.